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arXiv · 1710.00143

Sub classes of Bi-Univalent Functions Defined by Salagean type $q-$ Difference Operator

G. Murugusundaramoorthy·K. Vijaya
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Abstract

In this paper, we introduce and investigate a new subclass of the function class $Σ$ of bi-univalent functions defined in the open unit disk, which are associated with the Sălăgean type $q-$ difference operator and satisfy some subordination conditions. Furthermore, we find estimates on the Taylor-Maclaurin coefficients $|a_2|$ and $|a_3|$ for functions in the new subclass introduced here. Several (known or new) consequences of the results are also pointed out. Further we obtain Fekete-Szeg$\ddot{o}$ inequality for the new function class.

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G. Murugusundaramoorthy, K. Vijaya. 2017-09-30. Sub classes of Bi-Univalent Functions Defined by Salagean type $q-$ Difference Operator. https://arxiv.org/abs/1710.00143

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